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Numerical studies in random systems are plagued with strong finite-size effects and boundary effects. We introduce a window-measurement method as a practical solution to these difficulties. We observe physical quantities only within a…

Disordered Systems and Neural Networks · Physics 2015-06-19 Tota Nakamura , Takayuki Shirakura

We study the effects of dissipative boundaries in many-body systems at continuous quantum transitions, when the parameters of the Hamiltonian driving the unitary dynamics are close to their critical values. As paradigmatic models, we…

Statistical Mechanics · Physics 2021-09-01 Francesco Tarantelli , Ettore Vicari

The dynamics of complex systems generally include high-dimensional, non-stationary and non-linear behavior, all of which pose fundamental challenges to quantitative understanding. To address these difficulties we detail a new approach based…

Quantitative Methods · Quantitative Biology 2020-09-11 Antonio Carlos Costa , Tosif Ahamed , Greg J. Stephens

This is an introductory text reviewing Lieb-Robinson bounds for open and closed quantum many-body systems. We introduce the Heisenberg picture for time-dependent local Liouvillians and state a Lieb-Robinson bound that gives rise to a…

Quantum Physics · Physics 2017-11-22 Martin Kliesch , Christian Gogolin , Jens Eisert

We propose a new method of studying a real-time canonical evolution of field-theoretic systems with boundary coupling to a realistic heat bath. In the free-field case the method is equivalent to an infinite extension of the system beyond…

High Energy Physics - Lattice · Physics 2010-11-01 A. Krasnitz , R. Potting

Many-body approaches to open quantum systems have recently become powerful tools for investigating the detailed role of dissipative environments in diverse non-equilibrium molecular and condensed matter processes. Here, we report the…

Mesoscale and Nanoscale Physics · Physics 2016-02-15 Florian A. Y. N. Schröder , Alex W. Chin

We study monitored quantum dynamics of infinite-range interacting bosonic systems in the thermodynamic limit. We show that under semiclassical assumptions, the quantum fluctuations along single monitored trajectories adopt a deterministic…

Quantum Physics · Physics 2025-09-22 Zejian Li , Anna Delmonte , Rosario Fazio

Large scale quantum annealing dynamics of Ising spin glasses were recently implemented on D-Wave's Advantage$2$ system on a range of lattices. Following extensive comparison to existing numerical methods, these experiments were claimed to…

Quantum Physics · Physics 2026-05-29 Joseph Tindall , Antonio Mello , Matt Fishman , Miles Stoudenmire , Dries Sels

The long duration of the COVID-19 pandemic allowed for multiple bursts in the infection and death rates, the so-called epidemic waves. This complex behavior is no longer tractable by simple compartmental model and requires more…

Three-dimensional (3D) strongly correlated many-body systems, especially their dynamics across quantum phase transitions, are prohibitively difficult to be numerically simulated. We experimentally demonstrate that such complex many-body…

Quantum Gases · Physics 2021-08-02 J. O. Austin , Z. Chen , Z. N. Shaw , K. W. Mahmud , Y. Liu

Lattice simulations can play an important role in the study of dynamical electroweak symmetry breaking by providing quantitative results on the nonperturbative dynamics of candidate theories. For this programme to succeed, it is crucial to…

High Energy Physics - Lattice · Physics 2011-02-22 Luigi Del Debbio

We consider the unitary time evolution of continuous quantum mechanical systems confined to a cavity in contact with a finite bath of variable size. Measures for Markovianity for such finite system-bath configurations are developed in terms…

Considering an $N$-level system interacting factorizably with a continuous spectrum, we derive analytical expressions for the bound states and the dynamical evolution within this single-excitation Friedrichs model by using the projection…

Quantum Physics · Physics 2025-12-22 Jia-Ming Zhang , Yu Xin , Bing Chen

Bound states in the continuum (BICs), referring to spatially localized bound states with energies falling within the range of extended modes, have been extensively investigated in single-particle systems, leading to diverse applications in…

Mesoscale and Nanoscale Physics · Physics 2024-09-17 Na Sun , Weixuan Zhang , Hao Yuan , Xiangdong Zhang

Quantum collision models allow for the dynamics of open quantum systems to be described by breaking the environment into small segments, typically consisting of non-interacting harmonic oscillators or two-level systems. This work introduces…

Quantum Physics · Physics 2025-10-10 Anton Corr , Stefano Cusumano , Gabriele De Chiara

We study the real-time dynamics of a translationally invariant quantum spin chain, based on the East kinetically constrained glass model, in search for evidence of many-body localisation in the absence of disorder. Numerical simulations…

Statistical Mechanics · Physics 2015-10-07 Merlijn van Horssen , Emanuele Levi , Juan P. Garrahan

A numerical tool relying on sharp Immersed Boundary Method (IBM) is developed for the analysis of aerospace applications. The method, which is conceived for application using segregated solvers relying on implicit time discretization, uses…

Computational Engineering, Finance, and Science · Computer Science 2025-02-25 M. A. Chemak , E. Constant , M. Meldi

Evolutionary algorithms have been widely applied for solving dynamic constrained optimization problems (DCOPs) as a common area of research in evolutionary optimization. Current benchmarks proposed for testing these problems in the…

Neural and Evolutionary Computing · Computer Science 2019-07-10 Maryam Hasani-Shoreh , María-Yaneli Ameca-Alducin , Wilson Blaikie , Frank Neumann , Marc Schoenauer

We explore the role of entanglement in adiabatic quantum optimization by performing approximate simulations of the real-time evolution of a quantum system while limiting the amount of entanglement. To classically simulate the time evolution…

Disordered Systems and Neural Networks · Physics 2015-01-29 Bela Bauer , Lei Wang , Iztok Pižorn , Matthias Troyer

In recent years, the infinite time-evolution block decimation (iTEBD) method has been demonstrated to be one of the most efficient and powerful numerical schemes for time-evolution in one-dimensional quantum many-body systems. However, a…

Strongly Correlated Electrons · Physics 2020-07-15 Tomohiro Hashizume , Jad C. Halimeh , Ian P. McCulloch